Recent questions tagged p41

Find the intervals on which $f$ is increasing or decreasing. $f(x)=\sin^{4}x+\cos^{4}x $ in $ [0 , \large\frac{\pi}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=x+\cos x $ in $[0 , \pi ]$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=x-2\sin x,[0 , 2\pi ]$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=x^{3}+x+1$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)= x^{3}-3x+1$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=20-x-x^{2}$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $\tan x + \cot x $ on $[0 , \large\frac{\pi}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $x \sin x$ on $[0 , \pi ]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $x(x-1)(x+1) $ on $[0 , 2 ]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $2x^{2}+x-5$ on $[-1 ,0 ]$

asked May 4, 2013 by poojasapani_1

2 answers

Which of the following function are increasing or decreasing on the interval given? \[\] $x\sin x$ on$ [0 , \large\frac{\pi}{4}]$

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? \[\]$x(x-1)(x+1) $ on $[-2 , 1 ]$

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? \[\]$e^{-x} $ on $[0 , 1 ]$

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? \[\]$2x^{2}+3x$ on $[-\large\frac{1}{2} ,\frac{1}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? $x^{2}-1 $on$[0 , 1]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that $\log _e x $ is strictly increasing function on $(0 ,\infty)$.

asked May 4, 2013 by poojasapani_1

1 answer

Prove that $e^{x} $ is strictly increasing function on $R$.

asked May 4, 2013 by poojasapani_1

1 answer

If A, B, C are events associated with random expt. Prove that \[ PtP(A\cup B\cup C)=P(A)+P(B)+P(C)-P(A\cap B)-P(A\cap C)-P(B\cap C)+P(A\cap B\cap C)\]

asked Feb 5, 2013 by meena.p

0 answers

6 boys and 6 girls sit in a row at random. Find the probability that 1) The six girls sit together 2) The boys and girls sit alternatively.

asked Feb 5, 2013 by meena.p

0 answers

The mean and variance of a binomial distribution are $ 4 \;and\;\frac{4}{3}.\;Find\;P(X\geq1).$

asked Feb 5, 2013 by meena.p

1 answer

Find the probability that sum of the numbers showing on the two dice is 8, given that atleast one dice doesnt show five.

asked Feb 5, 2013 by meena.p

0 answers

Find the probability of throwing almost 2 sixes in 6 throws of a single dice.

asked Feb 5, 2013 by meena.p

0 answers

Three cards are drawn with replacement from a well shuffled pack of cards. Find the probability that cards are a king, queen and a jack

asked Feb 5, 2013 by meena.p

0 answers

$P(A)=\frac{1}{2},P(B)=\frac{7}{12}P(not A \;or\; nor B)=\frac{1}{4}$ state whether A and B are independent.

asked Feb 5, 2013 by meena.p

0 answers

Given that the two numbers appearing on two dice are different. Find the probability of the event 'the sum of numbers on the dice is 4'.

asked Feb 5, 2013 by meena.p

0 answers

In a binomial distribution, the sum of mean and variance is 42. Product is 360. FInd the distribution.

asked Feb 5, 2013 by meena.p

0 answers

Suppose X has a binomial distribution B(6,1/2) show that X = 3 is the most likely outcome.

asked Feb 5, 2013 by meena.p

0 answers

4 persons are chosen at random from a group of 3 men, 2 women, 3 children. Find the probability that out of 4 choice, exactly 2 are children.

asked Feb 5, 2013 by meena.p

0 answers

If on an average 1 ship in every 10 sinks, find the chance that out of 5 ships atleast 4 will arrive safely.

asked Feb 5, 2013 by meena.p

0 answers

In a hurdle race a player has to cross 10 hurdles. The probability that will clear each hurdle is 5/6, what is the probability that he will knock down fewer than 2 hurdles.

asked Feb 5, 2013 by meena.p

0 answers

A man fires 4 bullets on a thief. The probability that the thief will be killed by one bullet is 0.6. Find the probability that the thief is still alive.

asked Feb 5, 2013 by meena.p

0 answers

The parameters n and p are 12 and 1/3 for a binomial distribution. Find standard deviation.

asked Feb 5, 2013 by meena.p

0 answers

Given P(A) = 0.3, P(B) = 0.2, Find P(B/A) if A and B are mutually exclusive events.

asked Feb 5, 2013 by meena.p

5 answers

A die is thrown 120 times and getting 1 or 5 is considered success. Find the mean, variance of number of successes.

asked Feb 5, 2013 by meena.p

0 answers

Urn A contain 1 white, 2 black, 3 red balls. Urn B contain 2 white, 1 black, 1 red balls. Urn C contains 4 white, 5 black, 3 red balls. Two balls are drawn from one of the Urn and found to be one white and one red. Find the probabilities that they come from Urns A, B or C.

asked Feb 5, 2013 by meena.p

0 answers

True or False: The principal value of $\sin^{-1}\begin{bmatrix}\cos\bigg(\sin^{-1}\frac{1}{2}\bigg)\end{bmatrix}\;is\;\Large {\frac{\pi}{3}}$

asked Dec 21, 2012 by sreemathi.v

1 answer

True or False: The minimum value of n for which $\tan^{-1}\Large {\frac{n}{\pi}}\;>\Large {\frac{\pi}{4}},\normalsize\;n\in N,$ is valid is 5

asked Dec 21, 2012 by sreemathi.v

1 answer

Find the principal values of the following: $tan^{-1} (-1)$

asked Nov 28, 2012 by vaishali.a

2 answers

Find the principal values of the following: $cos^{-1} \bigg(-\frac {1} {2} \bigg ) $

asked Nov 28, 2012 by vaishali.a

2 answers

Find the principal values of the following: <br>$ tan^{-1} (-\sqrt3)$

asked Nov 28, 2012 by vaishali.a

2 answers

Find the principal values of the following: $cosec^{-1} (2) $

asked Nov 28, 2012 by vaishali.a

1 answer

Find the principal values of the following: <br> $cos^{-1} \bigg(\large\frac { \sqrt 3} {2}\bigg)$

asked Nov 28, 2012 by vaishali.a

2 answers

Find the principal values of the following: <br> $ sin^{-1} \bigg( -\frac {1} {2}\bigg) $

asked Nov 28, 2012 by vaishali.a

2 answers

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